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Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics

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From Alexandria, Through Baghdad

Abstract

The ancient Greek art of spbairopoiia was devoted to the building of models of the universe such as celestial globes and annillary spheres. But it also included the construction of geared mechanisms that replicated the motions of the Sun, Moon, and planets, such as the famous orrery that Cicero attributed to Archimedes or the spectacular Antikythera mechanism, found in an ancient shipwreck of about 60 BC. Was sphairopoiia merely an imitative art, in which the modelers followed the precepts of the theoretical astronomers? Or could theoretical astronomy also learn something from the art of mechanics? In this paper, we examine the relation of astronomy to mechanics in the ancient Greek world, and argue that we should imagine astronomy and mechanics in conversation with one another, rather than in a simple, one-way transmission of influence.

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References

  • Aujac, G., 1970. La sphéropée, ou la mécanique au service de la découverte du monde. Revue d’histoire des sciences et de leurs applications 23, 93–107.

    Article  MATH  Google Scholar 

  • ——— 1979. Autolycos de Pitane : La sphère en mouvement; Levers et couchers héliaques; Testimonia. Les Belles Lettres, Paris.

    Google Scholar 

  • Bekker, I., 1824–1825. Photii Bibliotheca. G. Reimer, Berlin. Accessible at http://gallica.bnf.fr/ark:/ 12148/bpt6k5489656d.

  • Berryman, S., 2009. The Mechanical Hypothesis in Ancient Greek Natural Philosophy. Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Bickerman, E.J., 1980. Chronology of the Ancient World. Cornell University Press, Ithaca.

    Google Scholar 

  • Bodnár, I., 2011. The Pseudo-Aristotelian "Mechanics": The Attribution to Strato. In: Desclos, M.L., Fortenbaugh, W.W., (eds.), Strato of Lampsacus: Text, Translation and Discussion. Transaction Publishers, New Brunswick, p. 171–204.

    Google Scholar 

  • Bottecchia Dehò, M.E., 2000. Aristotele. Problemi Meccanice: Introduzione, Testo Greco, Traduzione Italiana, Note. Rubbettino Editore, Soveria Mannelli (Catanzaro).

    Google Scholar 

  • Carman, CC, Thorndike, A.S., Evans, J., 2012. On the pin-and-slot device of the Antikythera Mechanism, with a new application to the superior planets. Journal for the History of Astronomy 43, 93–116.

    Google Scholar 

  • Carra de Vaux, B., 1891. Notice sur deux manuscrits arabes. Journal asiatique, 8e série, 17, 287–322.

    Google Scholar 

  • ——— 1894. Les mécaniques ou l’élévateur de Héron d’Alexandrie, publiées pour la première fois sur la version arabe de Qpstâ ibn Lûqâ. Imprimerie Nationale, Paris.

    Google Scholar 

  • Clagget, M., 1959. The Science of Mechanics in the Middle Ages. University of Wisconsin Press, Madison.

    Google Scholar 

  • Crönert, W, 1900. Der Epikureer Philonides. Sitzungsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin. 2nd half-volume, 942–959.

    Google Scholar 

  • Dalley, S., Oleson, J.R, 2003. Sennacherib, Archimedes, and the water screw: The context of invention in the ancient world. Technology and Culture 44, 1–26.

    Article  Google Scholar 

  • Davidson Weinberg, G., Grace, V.R., Edwards, G.R., Robinson, H.S., Throckmorton, P., Ralph E.K., 1965. The Antikythera shipwreck reconsidered. Transactions of the American Philosophical Society, New Series, 55, 3–48.

    Article  Google Scholar 

  • Decorps-Foulquier, M., Federspiel, M., 2010. Apollonius de Perge : Coniques. Walter de Gruyter, Berlin.

    Book  MATH  Google Scholar 

  • Dodge, B., 1970. The Fihrist of al-Nadīm: A Tenth-Century Survey of Muslim Culture. Columbia University Press, New York.

    Google Scholar 

  • Drachmann, A.G., 1948. Ktesibios, Philon and Heron: A Study in Ancient Pneumatics. Munksgaard, Copenhagen.

    Google Scholar 

  • ——— 1951. On the alleged second Ktsebios. Centauras 2, 1–10.

    Article  Google Scholar 

  • ——— 1958. How Archimedes expected to move the Earth. Centauras 5, 278–282.

    Google Scholar 

  • ——— 1963. The Mechanical Technology of Greek and Roman Antiquity: A Study of the Literary Sources. International Booksellers and Publishers, Munksgaard; University of Wisconsin Press, Madison.

    Google Scholar 

  • ——— 2008a. Ctesibius (Ktesibios). Complete Dictionary of Scientific Biography, 2: 491–492. Charles Scribner’s Sons, Detroit.

    Google Scholar 

  • ——— 2008b. Philo of Byzantium. Complete Dictionary of Scientific Biography, 10: 586–589. Charles Scribner’s Sons, Detroit.

    Google Scholar 

  • Duke, D., 2009. Mean motions in Ptolemy’s ’Planetary Hypotheses. Archive for History of Exact Sciences 63, 635–654.

    Article  MathSciNet  MATH  Google Scholar 

  • Dupuis, J., 1892. Théon de Smyrne, philosophe platonicien. Exposition des connaissances mathématiques utiles pour la lecture de Platon. Paris. Reprinted: Culture et Civilisation, Bruxelles, 1966.

    Google Scholar 

  • Eastwood, B., 1992. Heraclides and heliocentrism: Texts, diagrams, and interpretations. Journal for the History of Astronomy 23, 233–260.

    MathSciNet  Google Scholar 

  • Evans, J., Berggren, J.L., 2006. Geminos’s Introduction to the Phenomena: A Translation and Study of a Hellenistic Survey of Astronomy. Princeton University Press, Princeton.

    Google Scholar 

  • Evans, J., Carman, C.C, Thorndike, A.S., 2010. Solar anomaly and planetary displays in the An-tikythera Mechanism. Journal for the History of Astronomy 41, 1–39.

    Google Scholar 

  • Fraser, P.M., 1972. Ptolemaic Alexandria. Clarendon Press, Oxford.

    Google Scholar 

  • Freeth, T., Bitsakis, Y., Moussas, X., Seiradakis, J.H., Tselikas, A., Mangou, H., Zafeiropoulou, M., Hadland, R., Bate, D., Ramsey, A., Allen, M., Crawley, A., Hockley, P., Malzbender, T., Gelb, D., Ambrisco, W, Edmunds, M.G., 2006. Decoding the ancient Greek astronomical calculator known as the Antikythera Mechanism. Nature 444, 587–591. There is substantial "Supplementary Information" at http://www.nature.com/nature.

    Google Scholar 

  • Freeth, T., Jones, A., 2012. The cosmos in the Antikythera Mechanism. ISAW Papers 4. http://dlib.nyu.edu/awdl/isaw/isaw-papers/4.

  • Gallo, I., 1980. Frammenti biografici da papyri. Edizioni dell’Ateneo & Bizzarri, Roma.

    Google Scholar 

  • Gera, D., 1999. Philonides the Epicurean at court: Early connections. Zeitschrift für Papyrologie und Epigraphik 125, 77–83.

    Google Scholar 

  • Hamm, E.A., 2011. Ptolemy’s Planetary Theory: An English Translation of Book One, Part A of the Planetary Hypotheses with Introduction and Commentary. Ph.D. Dissertation, University of Toronto.

    Google Scholar 

  • Heath, T.L., 1921. A History of Greek Mathematics. Clarendon Press, Oxford.

    MATH  Google Scholar 

  • Heiberg, J.L., 1891–1893. Apollonii Pergai quae graece exstant opera cum commentariis antiquis. Teub-ner, Leipzig.

    Google Scholar 

  • ——— 1904. Mathematisches zu Aristoteles. In Cantor M. (ed.), Abhandlungen zur Geschichte der mathematischen Wissenschaften, 18. Hft., p. 3–49. B.G. Teubner, Leipzig.

    Google Scholar 

  • ——— 1910–1915. Archimedis opera omnia cum commentariis Eutocii, 3 vols. Teubner, Leipzig. Reprinted: Stuttgart, 1972.

    Google Scholar 

  • Henry, R., Schamp, J., 1959–1991. Photius, Bibliothèque. 9 vols. Les Belles Lettres, Paris.

    Google Scholar 

  • Hett, W.S., 1936. Aristotle: Minor Works. Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Hill, D.R., 1976. On the Construction of Water-Clocks. Kitāb Arshimīdas fī camal al-binkamāt. Turner & Devereux, London.

    Google Scholar 

  • Hultsch, F., 1876–1878. Pappi Alexandrini Collectionis quae supersunt. 3 vols. Weidmann, Berlin.

    Google Scholar 

  • Huxley, G., 1963. Studies in the Greek astronomers. Greek, Roman and Byzantine Studies 4, 83–105.

    Google Scholar 

  • Jones, A., 1976. Pappus of Alexandria: Book 7 of the Collection. Springer, New York.

    Google Scholar 

  • ——— 1999. Astronomical Papyri from Oxyrhynchus. Memoirs of the American Philosophical Society 233. American Philosophical Society, Philadelphia.

    Google Scholar 

  • Kaltsas, N., 2012. The Antikythera Shipwreck: The Ship, the Treasures, the Mechanism. Kapon, Athens.

    Google Scholar 

  • Keyes, C.W., 1994. Cicero. De re publica. De legibus. Harvard University Press, Cambridge, MA, and London (first published, 1928).

    Google Scholar 

  • Knorr, W.R., 1982. Ancient Sources of the Medieval Tradition of Mechanics: Greek, Arabic and Latin Studies of the Balance. Istituto e museo di storia della scienza, Firenze.

    Google Scholar 

  • ——— 1986. The Ancient Tradition of Geometrie Problems. Birkhäuser, Boston.

    Google Scholar 

  • Köhler, U., 1900. Ein Nachtrag zum Lebenslauf des Epikureers Philonides. Sitzungsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin, 2nd half-volume, 999–1001.

    Google Scholar 

  • Krafft, F., 1970. Dynamische und statische Betragtungsweise in der antiken Mechanik. Franz Steiner Verlag, Wiesbaden.

    Google Scholar 

  • Kunitzsch, R, Lorch, R., 2010. Theodosius Sphaerica. Arabic and Medieval Latin Translations. Franz Steiner Verlag, Stuttgart.

    Google Scholar 

  • Mastrocinque, A., 2009. The Antikythera shipwreck and Sinope’s culture during the Mithridatic wars. In: Højte, J.M. (ed.), Black Sea Studies 9 : Mithridates VI and the Pontic Kingdom. Aarhus University Press, Aarhus. Available at http://www.pontos.dk/publications/books/BSS 9

  • Minar, E.L., Sandbach, F.H., Helmbold, WC, 1961. Plutarch. Moralia, Vol. IX. Harvard University Press, Cambridge.

    Google Scholar 

  • Morrison, L.V., Stephenson, F.R., 2004. Historical values of the Earth’s clock error ΔΤ and the calculation of eclipses. Journal for the History of Astronomy 35, 327–336.

    Google Scholar 

  • Mueller, I., 1982. Geometry and Scepticism. In: Barnes, J., Brunschwig, J., Burnyeat, M., Schofield, M. (eds.), Science and Speculation: Studies in Hellenistic Theory and Practice. Cambridge, Cambridge University Press.

    Google Scholar 

  • Mugler, C, 1972. Archimède. Oeuvres. Tome IV, Commentaires d’Eutocius. Fragments. Les Belles Lettres, Paris.

    Google Scholar 

  • Netz, R., 2004. The Works of Archimedes. Vol. I, The Two Books On the Sphere and the Cylinder. Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  • Neugebauer, O., 1975. A History of Ancient Mathematical Astronomy. Springer, Berlin and New York.

    Book  MATH  Google Scholar 

  • Oldfather, CH., 1933. Diodorus Siculus, Library of History, Vol. I. Harvard University Press, Cambridge.

    Google Scholar 

  • Oleson, J.P., 1984. Greek and Roman Mechanical Water-Lifting Devices: The History of a Technology. University of Toronto Press, Toronto.

    Google Scholar 

  • Perrin, B., 1917. Plutarch. Lives, Vol. V. Harvard University Press, Cambridge.

    Google Scholar 

  • Philippson, R., 1941. Philonides (5). Paulys Realencyclopädie der classischen Altertumswissenschaft. Neue Bearbeitung, 39:63–73. Alfred Druckenmüller, München.

    Google Scholar 

  • Plassart, A., 1921. Inscriptions de Delphes. La liste des théorodoques. Bulletin de correspondance hellénique 45, 1–85.

    Article  Google Scholar 

  • Price, D.d.S., 1974. Gears from the Greeks: The Antikythera Mechanism — A Calendar Computer from ca. 80 B.C. Transactions of the American Philosophical Society, New Series, vol. 64, part 7.

    Google Scholar 

  • Rackham, H., 1947–1963. Pliny: Natural History. Harvard University Press, Cambridge, MA, W. Heinemann, London.

    Google Scholar 

  • ——— 1952. Cicero: De natura deorum. Academica. Harvard University Press Cambridge, MA, London.

    Google Scholar 

  • Rhode, E., 1878. Γέγονε in den Biographica des Suidas. Rheinisches Museum für Philologie, N. F. 33, 161–220.

    Google Scholar 

  • Salem, S.I., Kumar, A., 1991. Science in the Medieval World: "Book of the Categories of Nations" by Şācid al-Andalusī. University of Texas Press, Austin.

    Google Scholar 

  • Sedley, D., 1976. Epicurus and the Mathematicians of Cyzicus. Cronache Ercolanesi 6, 23–54.

    Google Scholar 

  • Shehadeh, K., Hill, D.R., Lorch, R., 1994. Construction of a Fluting Machine by Apollonius the Carpenter. Zeitschrift für Geschichte der arabisch-islamischen Wissenschaften 9,326–356. Reprinted in Hill, D.R., Studies in Medieval Islamic Technology. Ashgate Publishing, Aldershot (Hampshire) and Brookfield (Vermont), 1998.

    Google Scholar 

  • Sidoli, N., Saito, K., 2009. The role of geometrical construction in Theodosius’s Spherics. Archive for History of Exact Sciences 63, 581–609.

    Article  MathSciNet  MATH  Google Scholar 

  • Thorndike, L., 1949. The Sphere of Sacrobosco and its Commentators. University of Chicago Press, Chicago.

    MATH  Google Scholar 

  • Toomer, G. J., 1967. The size of the lunar epicycle according to Hipparchus. Centaurus 12, 145–150.

    Article  MathSciNet  Google Scholar 

  • ——— 1972. The mathematician Zenodorus. Greek, Roman and Byzantine Studies 13 177–192.

    Google Scholar 

  • ——— 1984. Ptolemy’s Almagest. Duckworth, London.

    MATH  Google Scholar 

  • ——— 2008a. Apollonius of Perga. Complete Dictionary of Scientific Biography, 1: 179–193. Charles Scribner’s Sons, Detroit.

    Google Scholar 

  • ——— 2008b. Heraclides Ponticus. Complete Dictionary of Scientific Biography, 15: 202–205. Charles Scribner’s Sons, Detroit.

    Google Scholar 

  • Ver Eecke, P., 1927. Les Sphériques de Théodose de Tripoli : oeuvres traduites pour la première fois du grec en français. Desclée de Brouwer et Cie, Bruges. Nouveau tirage: Albert Blanchard, Paris, 1959.

    Google Scholar 

  • ——— 1933. Pappus d’Alexandrie. La Collection mathématique. Albert Blanchard, Paris.

    Google Scholar 

  • Whitehead, D., Blythe, PH., 2004. Athenaeus Mechanicus, On Machines (Περί μεχανημάτων). Franz Steiner Verlag, Stuttgart.

    Google Scholar 

  • Wiedemann, E., 1970. Aufsätze zur arabischen Wissenschaftsgeschichte, 2 vols. Georg Olms Verlag, Hildesheim and New York.

    Google Scholar 

  • Wilson, A.I., 2008. Machines in Greek and Roman technology. In: Oleson, J.P. (ed.), The Oxford Handbook of Engineering and Technology in the Classical World. Oxford University Press, Oxford, 2008, p. 337–366.

    Google Scholar 

  • Winter, TN., 2007. The Mechanical Problems in the Corpus of Aristotle. Faculty Publications, Classics and Religious Studies, University of Nebraska-Lincoln. Available at http://digitalcommons.unl.edu/ classicsfacpub/68/.

  • Woepcke, F., 1874. Trois traités arabes sur le compas parfait. Notices et extraits des manuscrits de la Bibliothèque imperiale et autres bibliothèques. Paris, Imprimerie Nationale, t. 22, le partie, p. 1–176.

    Google Scholar 

  • Wright, M.T., 2002. A planetarium display for the Antikythera Mechanism. Horological Journal 144, 169–73 and 193.

    Google Scholar 

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Evans, J., Cannan, C.C. (2014). Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics. In: Sidoli, N., Van Brummelen, G. (eds) From Alexandria, Through Baghdad. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36736-6_7

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